The **diffusion equation** is a partial differential equation which describes density dynamics in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive-like behaviour, for instance the 'diffusion' of alleles in a population in population genetics.

Read more about Diffusion Equation: Statement, Historical Origin, Derivation, Discretization, Discretization (Image)

### Other articles related to "diffusion equation, diffusion, equation, equations":

Radiative Transfer Equation And Diffusion Theory For Photon Transport In Biological Tissue - Diffusion Theory - The

... Using the second assumption of

**Diffusion Equation**... Using the second assumption of

**diffusion**theory, we note that the fractional change in current density over one transport mean free path is negligible ... The vector representation of the**diffusion**theory RTE reduces to Fick's law, which defines current density in terms of the gradient of fluence rate ... scalar representation of the RTE gives the**diffusion equation**is the**diffusion**coefficient and μ'sμs is the reduced scattering coefficient ...Radiative Transfer Equation And Diffusion Theory For Photon Transport In Biological Tissue - Solutions To The

... A solution to the

**Diffusion Equation**- Point Sources in Infinite Homogeneous Media... A solution to the

**diffusion equation**for the simple case of a short-pulsed point source in an infinite homogeneous medium is presented in this section ... The source term in the**diffusion equation**becomes, where is the position at which fluence rate is measured and is the position of the source ... The**diffusion equation**is solved for fluence rate to yield The term represents the exponential decay in fluence rate due to absorption in accordance with Beer's law ...Eddy Current - Explanation -

... The derivation of a useful

**Diffusion Equation**... The derivation of a useful

**equation**for modelling the effect of eddy currents in a material starts with the differential, magnetostatic form of Ampère's Law, providing an ... The**diffusion equation**therefore is ...Convection–

... The convection–

**diffusion Equation**... The convection–

**diffusion equation**is a combination of the**diffusion**and convection (advection)**equations**, and describes physical phenomena where particles, energy ... Depending on context, the same**equation**can be called the advection–**diffusion equation**, drift–**diffusion equation**, Smoluchowski**equation**(after Marian Smoluchowski ...**Diffusion Equation**- Discretization (Image)

... The product rule is used to rewrite the anisotropic tensor

**diffusion equation**, in standard discretization schemes ... Because direct discretization of the

**diffusion equation**with only first order spatial central differences leads to checkerboard artifacts ... The rewritten

**diffusion equation**used in image filtering where "tr" denotes the trace of the 2nd rank tensor, and superscript "T" denotes transpose, in which in image filtering D ...

### Famous quotes containing the word equation:

“A nation fights well in proportion to the amount of men and materials it has. And the other *equation* is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.”

—Norman Mailer (b. 1923)

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